30 citations · 47 across the 11 of their papers we have counts for
12 papers
Global dynamics for the 1d quartic Klein-Gordon equation with an internal mode
Gong Chen, Gael Y. Diebou, Adilbek Kairzhan +1
We study a one dimensional nonlinear Klein-Gordon equation with a potential, a localized quadratic nonlinearity, and a non-localized quartic nonlinearity. We assume that the linear…
Asymptotic Stability of multi-solitons for d Supercritical NLS
Gong Chen, Abdon Moutinho
We consider the one-dimensional -supercritical nonlinear Schrödinger equation \[ i\partial_t ψ+ \partial_x^2 ψ+ |ψ|^{2k}ψ= 0, \qquad k>2. \] In this regime solitary waves are…
Asymptotic stability of the sine-Gordon kink
Gong Chen, Jonas Luhrmann
We establish the full asymptotic stability of the sine-Gordon kink outside symmetry under small perturbations in weighted Sobolev norms. Our proof consists of a space-time resonanc…
Stability estimates for the recovery of the nonlinearity from scattering data
Gong Chen, Jason Murphy
We prove stability estimates for the problem of recovering the nonlinearity from scattering data. We focus our attention on nonlinear Schrödinger equations of the form \[ (i\partia…
Recovery of the nonlinearity from the modified scattering map
Gong Chen, Jason Murphy
We consider a class of one-dimensional nonlinear Schrödinger equations of the form \[ (i\partial_t+Δ)u = [1+a]|u|^2 u. \] For suitable localized functions , such equations admit…
Strichartz estimates for Klein-Gordon equations with moving potentials
Gong Chen, Jacek Jendrej
We study linear Klein-Gordon equations with moving potentials motivated by the stability analysis of traveling waves and multi-solitons. In this paper, Strichartz estimates, local…
Strichartz estimates for the Klein--Gordon equation in
Marius Beceanu, Gong Chen
In this paper we prove standard and reversed Strichartz estimates for the Klein--Gordon equation in . Instead of the Fourier theory, our analysis is based on fund…
Long-time dynamics of small solutions to 1 cubic nonlinear Schrödinger equations with a trapping potential
Gong Chen
In this paper, we analyze the long-time dynamics of small solutions to the cubic nonlinear Schrödinger equation (NLS) with a trapping potential. We show that every small solut…
The d nonlinear Schrödinger equation with a weighted potential
Gong Chen, Fabio Pusateri
We consider the cubic nonlinear Schrödinger equation with a large external potential with no bound states. We prove global regularity and quantitative bounds for small sol…
Wave equations with moving potentials
Gong Chen
In this paper, we study the endpoint reversed Strichartz estimates along general time-like trajectories for wave equations in . We also discuss some applications of…
Strichartz Estimates for Wave equations with Charge Transfer Hamiltonian
Gong Chen
We prove Strichartz estimates (both regular and reversed) for a scattering state to the wave equation with a charge transfer Hamiltonian in : \[ \partial_{tt}u-Δu+\…
Strichartz Estimates for Charge Transfer Models
Gong Chen
In this note, we prove Strichartz estimates for scattering states of scalar charge transfer models in . Based on the idea of the proof of Strichartz estimates which…